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Finding the Fourth Proportional to 402,200.20, 603,300.30 and 152,849.80

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Solution

The fourth proportional to 402,200.20, 603,300.30 and 152,849.80 is: 229,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,200.20 : 603,300.30 = 152,849.80 : x
  2. Step 2: Convert to fraction form
    402,200.20/603,300.30 = 152,849.80/x
  3. Step 3: Cross multiply
    402,200.20x = 603,300.30 × 152,849.80
  4. Step 4: Simplify right side
    402,200.20x = 92,214,330,194.94
  5. Step 5: Solve for x
    x = 92,214,330,194.94/402,200.20
  6. Step 6: Final answer
    x = 229,274.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.